EduSahara™ Worksheet

Question 1

1.

A model of a ship is made to a scale of 1 : 80. If the area of the deck of the model ship is 4 sq.m, calculate the area of the deck of the ship.

(i)

25400.00 sq.m
(ii)

27200.00 sq.m
(iii)

24300.00 sq.m
(iv)

28100.00 sq.m
(v)

25600.00 sq.m

Question 2

2.

If the ratio of the bases of two triangles is J : K and the ratio of the corresponding heights is L : M , the ratio of their areas in the same order is

(i)

LM : JK
(ii)

JM : KL
(iii)

KL : JM
(iv)

JL : KM
(v)

JK : LM

Question 3

3.

In the given figure, △DEF and △STU are such that

Identify the property by which the two triangles are similar

(i)

SSS Similarity
(ii)

SAS Similarity
(iii)

AAA Similarity
(iv)

not similar

Question 4

4.

AB = 15.00 cm, BC = 14.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 25000. Calculate the area of the field.

(i)

11.13 sq.km
(ii)

12.13 sq.km
(iii)

15.13 sq.km
(iv)

13.13 sq.km
(v)

14.13 sq.km

Question 5

5.

A model of a ship is made to a scale of 1 : 80. If the length of the ship is 560 m, calculate length of the model ship.

(i)

7.00 m
(ii)

9.00 m
(iii)

8.00 m
(iv)

6.00 m
(v)

5.00 m

Question 6

6.

Which of the following are true?

a)	Similarity is anti symmetric.
b)	Similarity is transitive.
c)	Similarity is reflexive.
d)	Similarity is symmetric.

(i)

{a,c}
(ii)

{a,d}
(iii)

{b,c,d}
(iv)

{a,b}
(v)

{a,b,c}

Question 7

7.

In the given △MNO, PQ ∥ NO. If MP : PN = 9.09 cm : 10.91 cm and MO = 17 cm, QO =

(i)

7.27 cm
(ii)

11.27 cm
(iii)

9.27 cm
(iv)

8.27 cm
(v)

10.27 cm

Question 8

8.

In the given figure, the two circles touch each other internally.

Diameter
OB
passes through the centre of the smaller circle.

Find the radius of the outer circle.

(i)

14.03 cm
(ii)

12.03 cm
(iii)

13.03 cm
(iv)

15.03 cm
(v)

16.03 cm

Question 9

9.

Which of the following are true?

a)	Any two quadrilaterals are similar if the corresponding angles are equal.
b)	Any two triangles are similar if the corresponding angles are equal.
c)	Any two triangles are similar if the corresponding sides are proportional.
d)	Any two quadrilaterals are similar if the corresponding sides are proportional.

(i)

{a,d}
(ii)

{a,c}
(iii)

{a,b}
(iv)

{b,c,d}
(v)

{a,b,c}

Question 10

10.

A triangle having an area 54.64 sq.cm is reduced by a scale factor of 0.80. Find the area of its image.

(i)

39.97 sq.cm
(ii)

31.97 sq.cm
(iii)

29.97 sq.cm
(iv)

37.97 sq.cm
(v)

34.97 sq.cm

Question 11

11.

In the given figure, given ∠EBC = ∠DBE, x : y = 10.27 cm : 9.73 cm and q = 18 cm, find p =

(i)

17.00 cm
(ii)

21.00 cm
(iii)

19.00 cm
(iv)

18.00 cm
(v)

20.00 cm

Question 12

12.

A model of a ship is made to a scale of 1 : 120. If the volume of the ship is 13824000000 cu.m, calculate the volume of the model ship.

(i)

8000.00 cu.m
(ii)

7950.00 cu.m
(iii)

8130.00 cu.m
(iv)

8280.00 cu.m
(v)

7780.00 cu.m

Question 13

13.

Which of the following are true?

a)	A circle is a polygonal region.
b)	A square is a polygonal region.
c)	A semi-circle is a polygonal region.
d)	A triangle is a polygonal region.
e)	A sector is a polygonal region.

(i)

{c,d}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{e,a,b}
(v)

{a,b}

Question 14

14.

Identify the property by which the two given triangles are similar

(i)

AAA Similarity
(ii)

SSS Similarity
(iii)

not similar
(iv)

SAS Similarity

Question 15

15.

From the given figure and values, find x

(i)

(

36

,

35

)
(ii)

(

36

,

36

)
(iii)

(

39

,

36

)
(iv)

(

38

,

38

)
(v)

(

37

,

37

)

Question 16

16.

In the given figure, △BCD ∼ △PQR and CD = 13 cm , QR = 18.2 cm and

(i)

74.83 sq.cm
(ii)

76.83 sq.cm
(iii)

75.83 sq.cm
(iv)

73.83 sq.cm
(v)

72.83 sq.cm

Question 17

17.

Which of the following are true?

a)	Any two circles are congruent.
b)	Any two squares are congruent.
c)	Any two squares are similar.
d)	Any two triangles are congruent.
e)	Any two triangles are similar.
f)	Any two circles are similar.

(i)

{a,f,c}
(ii)

{b,f}
(iii)

{d,e,c}
(iv)

{c,f}
(v)

{a,c}

Question 18

18.

In the given figure, TU ∥ GH , and median FI bisects TU.
△FGI ∼

(i)

△FIH
(ii)

△GHF
(iii)

△FTJ
(iv)

△FGH
(v)

△FJU

Question 19

19.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠EHF =

(i)

∠AFD
(ii)

∠BHA
(iii)

∠DAF
(iv)

∠HFE
(v)

∠CFA

Question 20

20.

A rectangle having an area 342.00 sq.cm is reduced such that the area of its image is 131.46 sq.cm. Find the scale factor.

(i)

1.62
(ii)

0.62
(iii)

8.62
(iv)

2.62
(v)

7.62

Question 21

21.

A model of a ship is made to a scale of 1 : 145. If the volume of the model ship is 2744 cu.m, calculate the volume of the ship.

(i)

8365427000.00 cu.m
(ii)

8605427000.00 cu.m
(iii)

8225427000.00 cu.m
(iv)

8535427000.00 cu.m
(v)

8235427000.00 cu.m

Question 22

22.

In the given figure, ∠CDE = 41.7°, find the value of y =

(i)

50.30°
(ii)

46.30°
(iii)

49.30°
(iv)

47.30°
(v)

48.30°

Question 23

23.

Identify the property by which the two given triangles are similar

(i)

AAA Similarity
(ii)

SSS Similarity
(iii)

not similar
(iv)

SAS Similarity

Question 24

24.

△ABC is a triangle with sides BC = 14 cm, CA = 15 cm and AB = 13 cm. △ABC is reduced to △A'B'C' such that the smallest side of △A'B'C' is 8.67 cm. Find the scale factor.

(i)

2
(ii)

4
3
(iii)

2
5
(iv)

2
3
(v)

0

Question 25

25.

In the given figure, ∠KHI = 51.53°, find the value of x =

(i)

36.47°
(ii)

39.47°
(iii)

37.47°
(iv)

40.47°
(v)

38.47°

Assignment Key